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Finding the Fourth Proportional to 6,027.57, 8,318.12 and 3,375

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Solution

The fourth proportional to 6,027.57, 8,318.12 and 3,375 is: 4,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.57 : 8,318.12 = 3,375 : x
  2. Step 2: Convert to fraction form
    6,027.57/8,318.12 = 3,375/x
  3. Step 3: Cross multiply
    6,027.57x = 8,318.12 × 3,375
  4. Step 4: Simplify right side
    6,027.57x = 28,073,638.13
  5. Step 5: Solve for x
    x = 28,073,638.13/6,027.57
  6. Step 6: Final answer
    x = 4,657.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.